p-adic Numbers (eBook, PDF)
An Introduction
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p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating to prime numbers and diophantine equations. This book is an informal elementary introduction. Using minimal prerequisites, it introduces the reader to the p-adic numbers and analogues of the real numbers, and explores some of their properties. The book strives to be understandable to an undergraduate audience and offers interesting mathematics that is somewhat off the beaten track. Those who will later specialize in number theory, algebraic geomet...
p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating to prime numbers and diophantine equations. This book is an informal elementary introduction. Using minimal prerequisites, it introduces the reader to the p-adic numbers and analogues of the real numbers, and explores some of their properties. The book strives to be understandable to an undergraduate audience and offers interesting mathematics that is somewhat off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects, will benefit more directly, but all mathematics students can enjoy the book.
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